The purpose of this math inventory is to return a test score that directly correlates to the basic compentencies of the 10th Grade Math Standard. The following scale indicates the level of competency for the student tested: 0 - 13 Remedial level. 14 - 19 Instructional level. 20 - 27 Likely to exceed the 10th Grade Standard. Take as much time as needed to complete the test 1. The figures shown are composed of equal-sized squares. Figure A has a perimeter of 48. What is the perimeter of Figure B? (P = l + l + w + w) 56 60 64 84 2. On January 4, the temperature at 2 p.m. was 5 degrees celsius. At 11 p.m. it had dropped to Ü3 degrees celsius. To find the number of degrees the temperature dropped, which equation could you use? Let x = the number of degrees the temperature dropped. 5 Ü x = Ü3 5 Ü (Üx) = Ü3 5 Ü 3 = x x Ü (Ü3) = 5 3. The ratio of cats to dogs at the animal shelter is 6:7. If there are a total of 91 cats and dogs at the shelter, how many of each are there? 44 dogs and 47 cats 44 cats and 47 dogs 42 cats and 49 dogs 42 dogs and 49 cats 4. Diane has $125.00 in her savings account. She deposits another $15.00 the first month, $30.00 the second month and $45.00 the third month. At this rate, how much money will she have at the end of 10 months? $275.00 $525.00 $825.00 $950.00 5. A rectangle is divided into sections with the areas shown. What is the value of X? 25 28 32 35 6. Given the illustration below, what is the length of chord AC of circle B? A B C D 7. As a car increases speed, its engineÍs RPM (revolutions per minute) increases. At certain RPMs, however, the carÍs transmission shifts to a higher gear, which results in a lower RPM for the engine. This process is repeated a few times before a car reaches its cruising speed. Which graph best shows this? A B C D 8. AC of circle B? Mr. Nelson measured a bucket and said it was about 5,000 cubic centimeters. What did he measure? Radius Volume Area Perimeter 9. What can be deduced from the drawing and the fact that line AB // line DC and line FG intersects line AB and line DC ? A B C D 10. Jan has 3 dimes in her pocket and nothing else. If she takes 1 coin from her pocket, what is the probability that it will be a dime? 1/10 3/10 1/3 1 11. What number is missing from the following sequence? 3, 8, 18, 38, ?, 158 58 68 76 78 12. If line segment AB measures 10 units and line segment BF measures 10 units, then what is the area of triangle DCE in square units? (ABFD is a square.) 50.00 25.00 12.50 6.25 13. An electronics manufacturer packs its portable CD players in cartons of 8 and its CD carrying cases in cartons of 26. The manufacturer wants to ship an equal number of CD players and carrying cases to a single store. What is the fewest possible number of each that can be shipped to a store? 52 64 104 208 Calculate the volume of this figure. (If needed, use pi = 3.14.) 1.00 cubic centimeters 2.00 cubic centimeters 3.14 cubic centimeters 6.28 cubic centimeters 15. To the nearest percent, at what percentage of the exhibitions was attendance less than 175? 3 x 3 x 23 9 x 23 2 x 103.5 207 cannot be factored because it is already a prime number. 16. The number 57 is a composite number rather than a prime number because it is divisible only by 1 and itself. it has factors other than 1 and itself. it is not divisible by even numbers. it is less than 100. 17. Lorena kept track of the time she spent on homework for 1 term and came up with the following chart: During that term, Lorena spent about 200 hours doing all kinds of homework. How many more hours did she spend doing physics homework than English homework? 5 10 17.67 32 18. To win a big prize you have to decide which 6 numbers between 1 and 52 will be randomly selected. Of the 3 people below, which 1 has the greatest chance of winning the prize? All 3 people have exactly the same chance of winning. Kenneth, who picks 1, 2, 3, 4, 5 and 6 Kathleen, who picks 22, 24, 26, 28, 30 and 32 Kyle, who picks 11, 19, 26, 34, 41 and 47 19. The table shows BrianaÍs salary: Which graph best shows how much Briana will earn? A B C D 20. Your bed is about how long? 1 km 2 m 90 cm 6 cm 21. To find 75% of a number, you can multiply the number by 0.25 multiply the number by 0.75 divide the number by 0.75 divide the number by 0.25, and then subtract that result from the number 22. The figure below is formed from unit cubes. The 3 faces of the figure that you cannot see are solid„no cubes are missing. What is the volume of the figure in cubic units? 27 31 33 35 23. A food manufacturer wants to identify what types of dessert are most popular with people in Brownstown. Of these four methods, which is most likely to generate unbiased information? Ask the first 250 people who arrive at the local ice cream store for their opinion. Include a questionnaire with every package of cookies and/or ice cream. Survey all bakery owners in Brownstown to determine which products sell fastest. Randomly choose streets in Brownstown and visit every fourth house to survey the occupants. 24. The newspaper reported that about 60,000 people attended the Purdue University football game. If this number has been rounded to the nearest ten thousand, what are the fewest number and the greatest number of people who could have attended? 51,000 and 65,000 59,000 and 61,000 59,501 and 60,499 55,000 and 64,999 25. Which of the following points can be in the shaded area? (4, 3) (Ü4, 3) (4,Ü3) (Ü4,Ü3) Your score is out of 25
3. The ratio of cats to dogs at the animal shelter is 6:7. If there are a total of 91 cats and dogs at the shelter, how many of each are there? 44 dogs and 47 cats 44 cats and 47 dogs 42 cats and 49 dogs 42 dogs and 49 cats
4. Diane has $125.00 in her savings account. She deposits another $15.00 the first month, $30.00 the second month and $45.00 the third month. At this rate, how much money will she have at the end of 10 months? $275.00 $525.00 $825.00 $950.00
5. A rectangle is divided into sections with the areas shown. What is the value of X? 25 28 32 35
6. Given the illustration below, what is the length of chord AC of circle B? A B C D
7. As a car increases speed, its engineÍs RPM (revolutions per minute) increases. At certain RPMs, however, the carÍs transmission shifts to a higher gear, which results in a lower RPM for the engine. This process is repeated a few times before a car reaches its cruising speed. Which graph best shows this?
A B C D
8. AC of circle B? Mr. Nelson measured a bucket and said it was about 5,000 cubic centimeters. What did he measure? Radius Volume Area Perimeter
9. What can be deduced from the drawing and the fact that line AB // line DC and line FG intersects line AB and line DC ? A B C D
10. Jan has 3 dimes in her pocket and nothing else. If she takes 1 coin from her pocket, what is the probability that it will be a dime? 1/10 3/10 1/3 1
11. What number is missing from the following sequence? 3, 8, 18, 38, ?, 158 58 68 76 78
12. If line segment AB measures 10 units and line segment BF measures 10 units, then what is the area of triangle DCE in square units? (ABFD is a square.) 50.00 25.00 12.50 6.25
13. An electronics manufacturer packs its portable CD players in cartons of 8 and its CD carrying cases in cartons of 26. The manufacturer wants to ship an equal number of CD players and carrying cases to a single store. What is the fewest possible number of each that can be shipped to a store? 52 64 104 208
Calculate the volume of this figure. (If needed, use pi = 3.14.) 1.00 cubic centimeters 2.00 cubic centimeters 3.14 cubic centimeters 6.28 cubic centimeters
15. To the nearest percent, at what percentage of the exhibitions was attendance less than 175?
3 x 3 x 23 9 x 23 2 x 103.5 207 cannot be factored because it is already a prime number.
16. The number 57 is a composite number rather than a prime number because it is divisible only by 1 and itself. it has factors other than 1 and itself. it is not divisible by even numbers. it is less than 100.
17. Lorena kept track of the time she spent on homework for 1 term and came up with the following chart: During that term, Lorena spent about 200 hours doing all kinds of homework. How many more hours did she spend doing physics homework than English homework? 5 10 17.67 32
18. To win a big prize you have to decide which 6 numbers between 1 and 52 will be randomly selected. Of the 3 people below, which 1 has the greatest chance of winning the prize? All 3 people have exactly the same chance of winning. Kenneth, who picks 1, 2, 3, 4, 5 and 6 Kathleen, who picks 22, 24, 26, 28, 30 and 32 Kyle, who picks 11, 19, 26, 34, 41 and 47
19. The table shows BrianaÍs salary: Which graph best shows how much Briana will earn? A B C D
20. Your bed is about how long?
1 km 2 m 90 cm 6 cm
21. To find 75% of a number, you can multiply the number by 0.25 multiply the number by 0.75 divide the number by 0.75 divide the number by 0.25, and then subtract that result from the number
22. The figure below is formed from unit cubes. The 3 faces of the figure that you cannot see are solid„no cubes are missing. What is the volume of the figure in cubic units? 27 31 33 35
23. A food manufacturer wants to identify what types of dessert are most popular with people in Brownstown. Of these four methods, which is most likely to generate unbiased information? Ask the first 250 people who arrive at the local ice cream store for their opinion. Include a questionnaire with every package of cookies and/or ice cream. Survey all bakery owners in Brownstown to determine which products sell fastest. Randomly choose streets in Brownstown and visit every fourth house to survey the occupants.
24. The newspaper reported that about 60,000 people attended the Purdue University football game. If this number has been rounded to the nearest ten thousand, what are the fewest number and the greatest number of people who could have attended? 51,000 and 65,000 59,000 and 61,000 59,501 and 60,499 55,000 and 64,999
25. Which of the following points can be in the shaded area? (4, 3) (Ü4, 3) (4,Ü3) (Ü4,Ü3)
Your score is out of 25